As long as your wall has been properly tiled then drill, plug, and screw, into the tiles. Ceramic tiles will easily handle the weight of a bathroom cabinet – it won’t pull the tiles off the wall. You have to make certain the hole that you drill provides a tight fit for the rawlplug though, tight enough for the rawlplug to require gentle tapping in with a hammer.
Use a “spade shaped pointy” glass bit in your drill even if it’s only to do the pilot hole as they are much easier to control (you can enlarge with an ordinary bit) Although for red rawplugs you should only need a 5.5mm bit/hole.
EDIT : Avoid using the hammer action setting on your drill to minimise the risk of cracking your tiles.
EDIT 2 : Don’t push the rawlpug beyond the tile, keep it flush with the tile.
EDIT 3 : RE : “This fixes a clever plastic bracket to the wall, which can be levelled with cams before the cabinet is hung on to the bracket.” I can’t say I’ve seen a system which uses plastic brackets but I doubt very much that the brackets will take particularly large screws, plus brackets for wall units generally have two screws very close together, so fisher fixings and anything which requires large holes is out of the question imo. Screw into the tiles.